{"id":"https://openalex.org/W4412022782","doi":"https://doi.org/10.37236/12594","title":"Rainbow Common Graphs Must Be Forests","display_name":"Rainbow Common Graphs Must Be Forests","publication_year":2025,"publication_date":"2025-07-04","ids":{"openalex":"https://openalex.org/W4412022782","doi":"https://doi.org/10.37236/12594"},"language":"en","primary_location":{"id":"doi:10.37236/12594","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12594","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i3p7/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i3p7/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101275667","display_name":"Yihang Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yihang Sun","raw_affiliation_strings":["Massachusetts Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101275667"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":1.8359,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.85166252,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"32","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12703","display_name":"Oil Palm Production and Sustainability","score":0.4984999895095825,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12703","display_name":"Oil Palm Production and Sustainability","score":0.4984999895095825,"subfield":{"id":"https://openalex.org/subfields/2303","display_name":"Ecology"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rainbow","display_name":"Rainbow","score":0.8835546970367432},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37802040576934814},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.3210245966911316},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12846267223358154},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.0760924220085144}],"concepts":[{"id":"https://openalex.org/C2776558979","wikidata":"https://www.wikidata.org/wiki/Q1052","display_name":"Rainbow","level":2,"score":0.8835546970367432},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37802040576934814},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.3210245966911316},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12846267223358154},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0760924220085144}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/12594","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12594","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i3p7/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/12594","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12594","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v32i3p7/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412022782.pdf","grobid_xml":"https://content.openalex.org/works/W4412022782.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2394414377","https://openalex.org/W2386551956","https://openalex.org/W2374811656","https://openalex.org/W2500362344","https://openalex.org/W1480985150","https://openalex.org/W223516324","https://openalex.org/W2228017700"],"abstract_inverted_index":{"We":[0,53],"study":[1],"the":[2,6,17,71],"rainbow":[3,20],"version":[4],"of":[5,19,22,33,35,73,75,81,89],"graph":[7,11],"commonness":[8],"property:":[9],"a":[10,59,79,87],"$H$":[12,23,48,57],"is":[13,37,49,63],"$r$-rainbow":[14,50,64],"common":[15],"if":[16,56],"number":[18,72],"copies":[21],"(where":[24],"all":[25],"edges":[26,34,74],"have":[27],"distinct":[28],"colors)":[29],"in":[30],"an":[31],"$r$-coloring":[32],"$K_n$":[36],"maximized":[38],"asymptotically":[39],"by":[40],"independently":[41],"coloring":[42],"each":[43],"edge":[44],"uniformly":[45],"at":[46,69],"random.":[47],"uncommon":[51,65],"otherwise.":[52],"show":[54],"that":[55],"has":[58],"cycle,":[60],"then":[61],"it":[62],"for":[66],"every":[67],"$r$":[68],"least":[70],"$H$.":[76],"This":[77],"generalizes":[78],"result":[80],"Erd\u0151s":[82],"and":[83,85,96],"Hajnal,":[84],"proves":[86],"conjecture":[88],"De":[90],"Silva,":[91],"Si,":[92],"Tait,":[93],"Tun\u00e7bilek,":[94],"Yang,":[95],"Young.":[97]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-03-17T09:09:15.849793","created_date":"2025-10-10T00:00:00"}